Chaire Jean-Morlet
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CIRM - Jean-Morlet Chair

Mark POLLICOTT & Sandro VAIENTI

Thermodynamic Formalism: Applications to Probability, Geometry and Fractals

Formalisme thermodynamique : applications aux probabilités, à la géométrie et aux fractales

2019 semester 2
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RESEARCH SCHOOL - ECOLE DE RECHERCHE
Thermodynamic Formalism: Modern Techniques in Smooth Ergodic Theory
(event 2110)
Formalisme thermodynamique : Techniques modernes en théorie ergodique
Dates: 01-05 July 2019
Place: CIRM (Marseille Luminy, France)
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PRE-REGISTER HERE BY 15 APRIL 2019

SCHEDULE & ABSTRACTS
PARTICIPANTS
PRACTICAL INFORMATION
DESCRIPTION
The school will be based on courses and survey lectures covering the following topics:

(1) Introductory lectures on Thermodynamic Formalism
(2) Transfer operators and anisotropic Banach spaces;
(3) Geometric zeta functions and Microlocal analysis;
(4) Statistical Properties;
(5) Gibbs measures and Geometry;
(6) Weil-Petersson, Teichmuller geodesic flows, Translation surfaces
(7) Fractal Geometry
Mini-courses will include:

F. Paulin, "Rate of mixing for geodesic flows with Gibbs measures in negative curvature and trees"

F. Rodriguez Hertz, "Introduction to rigidity in hyperbolic dynamics"

C. Liverani, "Averaging and beyond for fast-slow hyperbolic systems"

ORGANIZING COMMITTEE
  • Mark Pollicott (University of Warwick)
  • Sandro Vaienti (Aix-Marseille Université & Université de Toulon))
INVITED SPEAKERS
  • Nalini Anantharaman (Université de Strasbourg)
  • Viviane Baladi (CNRS - Sorbonne Université)
  • Dmitry Dolgopyat (University of Maryland)
  • Semyon Dyatlov (UC Berkeley / MIT)
  • Kenneth Falconer (University of St. Andrews)
  • Frédéric Faure (Université Grenoble Alpes)
  • Giovanni Gallavotti (University of Roma La Sapienza)
  • Sébastien Gouezel (CNRS - Université de Nantes)
  • François Labourie (Université Nice Sophia Antipolis)
  • François Ledrappier (CNRS - Sorbonne Université / Paris Diderot)
  • Carlangelo Liverani (University Roma Tor Vergata)
  • Ian Melbourne (University of Warwick)
  • Yakov Pesin (Penn State)
  • David Ruelle (IHES)
  • Stéphane Seuret (Université Paris-Est Créteil Val-de-Marne)
  • Yakov Sinai (Princeton)
  • Masato Tsujii (Kyushu University)
  • Mariusz Urbanski (University of North Texas)
  • Amie Wilkinson (University of Chicago)
  • Maciej Zworski (Berkeley)

SPONSORS OF THE SEMESTER
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